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Chapter 2: Q10. (page 69)

Solve each system by the method of addition or subtraction.

5x–y=20

3x+y=12

Short Answer

Expert verified

The solution of given system of equations is x = 4, y = 0.

Step by step solution

01

Step 1. Description of step.

Add 5x-y=20and 3x+y=12and simplify.

(5x–y)+(3x+y)=20+12

8x=32

02

Step 2. Description of step.

Divide each side of the equation obtained in step 1 by 8 to find the value of x.

8x8=328

x=4

03

Step 3. Description of step.

Substitute 4 for x into 3x+y=12, to find the value of y.

3×4+y=12

12+y=12

y=0

Therefore, the solution of given system of equations is x = 4, y = 0.

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Most popular questions from this chapter

Consider the following statements:

Reflexive Property: Robot A is as rusty as itself.

Symmetric Property: If Robot A is as rusty as Robot B, then Robot B is as rusty as Robot A.

Transitive Property: If Robot A is as rusty as Robot B and Robot B is as rusty as Robot C, then Robot A is as rusty as Robot C.

A relation such as “is as rusty as” that is reflexive, symmetric, and transitive is an equivalence relation. Which of the following are equivalence relations?

a. Is rustier than

b. Has the same length as

c. Is opposite (for rays)

d. Is coplanar with (for lines)

Copy everything shown and write a two-column proof.

Given:RQ=TP;

ZQ=ZP

Prove:RZ=TZ

Write a definition of congruent angles as a biconditional.

Justify each statement with a property from algebra or property of congruence.

If x+5=16then x=11.

Prove the following statement by filling in the blanks.

If A and B have coordinated a and b, with b>a, and the midpoint M of AB¯ has coordinate x, then prove x=a+b2.

Proof:

Statement

Reasons

1. A, M, and B have coordinated a, x, and b respectively; b>a.

1. ?

2. AM=x−a;MB=b−x

2. ?

3. M is the midpoint of AB¯.

3. ?

4. AM¯≅MB¯, orAM=MB

4. ?

5.x−a=b−x

5. ?

6. 2x=?

6. ?

7. x=a+b2

7. ?
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